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214130114241 = 3172310113913003
BaseRepresentation
bin1100011101101100100…
…1100011111011000001
3202110201002120212020220
43013123021203323001
512002014302123431
6242211531253253
721320225640231
oct3073311437301
9673632525226
10214130114241
11828a295a16a
12355bb8aa229
1317266886814
14a514987cc1
155883c09b96
hex31db263ec1

214130114241 has 64 divisors (see below), whose sum is σ = 320884623360. Its totient is φ = 126317030400.

The previous prime is 214130114203. The next prime is 214130114243. The reversal of 214130114241 is 142411031412.

It is a happy number.

It is not a de Polignac number, because 214130114241 - 27 = 214130114113 is a prime.

It is a super-2 number, since 2×2141301142412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214130114243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16461246 + ... + 16474248.

It is an arithmetic number, because the mean of its divisors is an integer number (5013822240).

Almost surely, 2214130114241 is an apocalyptic number.

It is an amenable number.

214130114241 is a deficient number, since it is larger than the sum of its proper divisors (106754509119).

214130114241 is a wasteful number, since it uses less digits than its factorization.

214130114241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13286.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 214130114241 its reverse (142411031412), we get a palindrome (356541145653).

The spelling of 214130114241 in words is "two hundred fourteen billion, one hundred thirty million, one hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 17 23 51 69 101 139 303 391 417 1173 1717 2323 2363 3197 5151 6969 7089 9591 13003 14039 39009 39491 42117 54349 118473 163047 221051 238663 299069 322897 663153 715989 897207 968691 1313303 1807417 3939909 5084173 5422251 5489249 15252519 16467747 22326151 30205969 30726089 41570591 66978453 90617907 92178267 124711773 182549117 513501473 547647351 706700047 1540504419 2120100141 3103334989 4198629691 9310004967 12595889073 71376704747 214130114241